From stations m and n two trains start moving towards each other at speed 125 km/h and 75 km/h respectively.when the two meet each other it is found that one train covers 50 km more than another. find the distance between m and n
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ANSWER:
200km
EXPLAINATION
Let the trains meet after time t at a distance x from station N,
then another train coming from station M covers a distance of (x+50)
.
For station M, (x+50)
=125t
=> x=125t-50 ...(i)
For station N, x = 75t ...(ii)
From Eqs. (i) and (ii), we get
75t = 125t - 50 => t = 1 h
Distance between stations M and N =125 + 75t = 200 x 1 = 200 km
200km
EXPLAINATION
Let the trains meet after time t at a distance x from station N,
then another train coming from station M covers a distance of (x+50)
.
For station M, (x+50)
=125t
=> x=125t-50 ...(i)
For station N, x = 75t ...(ii)
From Eqs. (i) and (ii), we get
75t = 125t - 50 => t = 1 h
Distance between stations M and N =125 + 75t = 200 x 1 = 200 km
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